Statistical analysis ebook

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Users are recommended to read the initial four topics — Introduction, Statistical Concepts, Statistical Data and. Descriptive Statistics, and then select 

Chapter I: Introduction to Statistics

The Nature of Data and Variation

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Chapter II: Describing, Exploring, and Comparing Data

Types of Data

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Chapter III: Probability

Probability is important in many studies and discipline because measurements, observations and findings are often influenced by variation.
In addition, probability theory provides the theoretical groundwork for statistical inference.

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Chapter IV: Probability Distributions

There are two basic types of processes that we observe in nature - Discrete and Continuous.
We begin by discussing several important discrete random processes, emphasizing the different distributions, expectations, variances and applications.
In the next chapter, we will discuss their continuous counterparts and other continuous distributions are d.

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Chapter V: Normal Probability Distribution

The Normal Distribution is perhaps the most important model for studying quantitative phenomena in the natural and behavioral sciences - this is due to the Central Limit Theorem.
Many numerical measurements (e.g., weight, time, etc.) can be well approximated by the normal distribution.
Other commonly used continuous distributions are discussed in a.

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Chapter VI: Relations Between Distributions

In this chapter, we will explore the relationships between different distributions.
This knowledge will help us to compute difficult probabilities using reasonable approximations and identify appropriate probability models, graphical and statistical analysis tools for data interpretation.The complete list of all SOCR Distributions is available here.

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Chapter VII: Point and Interval Estimates

Estimation of population parameters is critical in many applications.
Estimation is most frequently carried in terms of point-estimates or interval (range) estimates for population parameters that are of interest.

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Chapter VIII: Hypothesis Testing

Hypothesis Testingis a statistical technique for decision making regarding populations or processes based on experimental data.
It quantitatively answers the possibility that chance alone might be responsible for the observed discrepancies between a theoretical model and the empirical observations.

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Preface

This is an Internet-based probability and statistics E-Book.
The materials, tools and demonstrations presented in this E-Book would be very useful for advanced-placement (AP) statistics educational curriculum.
The E-Book is initially developed by the UCLA Statistics Online Computational Resource (SOCR).
However, all statistics instructors, research.

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What are the features of the statistics e-book?

There are 4 novel features of this specific Statistics EBook.
It is community-built, completely open-access (in terms of use and contributions), blends information technology, scientific techniques and modern pedagogical concepts, and is multilingual.
Follow the instructions in this page to expand, revise or improve the materials in this E-Book.

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What is a probability & statistics e-book?

This is an Internet-based probability and statistics E-Book.
The materials, tools and demonstrations presented in this E-Book would be very useful for advanced-placement (AP) statistics educational curriculum.
The E-Book is initially developed by the UCLA Statistics Online Computational Resource (SOCR).

,

What is data analysis in interdisciplinary research?

It presents descriptive, inductive and explorative statistical methods and guides the reader through the process of quantitative data analysis.
In the experimental sciences and interdisciplinary research, data analysis has become an integral part of any scientific study.


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